Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings
نویسندگان
چکیده
منابع مشابه
Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings
LetH be a real Hilbert space with inner product 〈·, ·〉 and norm ‖ · ‖, and let C be a nonempty closed convex subset of H. Recall that a mapping T : H → H is said to be nonexpansive if ‖Tx−Ty‖ ≤ ‖x−y‖ for all x, y ∈ H. The set of fixed points of T is Fix T : {x ∈ H : Tx x}. T : H → H is said to be quasi-nonexpansive if Fix T is nonempty and ‖Tx − p‖ ≤ ‖x − p‖ for all x ∈ H and p ∈ Fix T . Given ...
متن کاملStrong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators
In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some suitable conditions, we prove strong convergence theorems of such sequences to the solution of the sum of an inverse-strongly monotone and a maximal monotone operator. Finally, we present a numerical re...
متن کاملStrong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces
The shrinking projection method has gained more and more attention as a powerful tool for the approximation of a fixed point of nonlinear mappings. In this paper, we introduce a new shrinking projection method for the approximation of fixed points of a family of pseudocontractive mappings in a Hilbert space. Using this method, we also deal with the problem of finding a common zero of a family o...
متن کاملWeak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.
متن کاملStrong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2011/681214